18.15 Z is distributed N(0, 1), W is distributed x2 n, and V is distributed x2 m. Show, as n S  and m is fixed, that

a. W>n ¡ p 1.

b. Z 2W>n ¡ d N(0, 1). Use the result to explain why the t  distribution is the same as the standard normal distribution.

c. V/m W>n ¡ d x2 m > m. Use the result to explain why the Fm,  distribution is the same as the x2 m >m distribution.